Question: Problem 1. (35 points) 1 Draw the decision tree for the merge-sort algorithm for the input consisting of 3 numbers: a, b,o. . Draw the

Problem 1. (35 points) 1 Draw the decision tree for the

Problem 1. (35 points) 1 Draw the decision tree for the merge-sort algorithm for the input consisting of 3 numbers: a, b,o. . Draw the 4 top levels of the decision tree for the merge-sort algorithm for the input consisting of 4 numbers: a, b, c, d How may leaves does this tre have? 4. How many levels does this tree have? What is the number of comparisons needed to sort these 4 numbers by the merge-sort algorithm in the worst case? What is this number in the best case? 5. 6. 7. Is there an algorithm that in the worst case sorts 4 numbers with a smaller number of comparisons? Justify the answers to all these questions

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